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Finding the Fourth Proportional to 8,764.50, 13,146.27 and 3,574.74

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Solution

The fourth proportional to 8,764.50, 13,146.27 and 3,574.74 is: 5,361.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.50 : 13,146.27 = 3,574.74 : x
  2. Step 2: Convert to fraction form
    8,764.50/13,146.27 = 3,574.74/x
  3. Step 3: Cross multiply
    8,764.50x = 13,146.27 × 3,574.74
  4. Step 4: Simplify right side
    8,764.50x = 46,994,497.22
  5. Step 5: Solve for x
    x = 46,994,497.22/8,764.50
  6. Step 6: Final answer
    x = 5,361.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.